Work Energy And Power Question 239

Question: A body starts from rest and acquires a velocity V in time T. The work done on the body in time t will be proportional to

Options:

A) $ \frac{V}{T}t $

B) $ \frac{V^{2}}{T}t^{2} $

C) $ \frac{V^{2}}{T^{2}}t $

D) $ \frac{V^{2}}{T^{2}}t^{2} $

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Work done on the body is gain in the kinetic energy.

Acceleration of the body is $ a=V/T $ .

Velocity acquired in time t is $ v=at =\frac{V}{T}t $ K.E. acquired $ \propto v^{2} $ . T

hat is work done $ \propto \frac{V^{2}t^{2}}{T^{2}} $



NCERT Chapter Video Solution

Dual Pane